Rotate the point (9, 5)

Question

on a geometric figure 270 degrees clockwise. What is the new point?(1 point)
Responses

(−5, 9)
left parenthesis negative 5 comma 9 right parenthesis

(5, 9)
left parenthesis 5 comma 9 right parenthesis

(−9,−5)
left parenthesis negative 9 comma negative 5 right parenthesis

(−5,−9)

Answer 1

To rotate a point \( (x, y) \) 270 degrees clockwise around the origin, you can use the following transformation:

• A rotation of 270 degrees clockwise is equivalent to a rotation of 90 degrees counterclockwise. The transformation for a 90-degree counterclockwise rotation is given by:

\[ (x, y) \to (-y, x) \]

Applying this transformation to the point \( (9, 5) \):

\[ (9, 5) \to (-5, 9) \]

Thus, the new point after rotating \( (9, 5) \) 270 degrees clockwise is:

\((-5, 9)\)

So the correct response is:

\((−5, 9)\)